Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations
In this article, we construct new specific conditions for the asymptotic stability (AS) and boundedness (B) of solutions to nonlinear Volterra integro-differential equations (VIDEs) of first order with a constant retardation. Our analysis is based on the successful construction of suitable Lyapunov–...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2018-10-01
|
| Series: | Journal of King Saud University: Science |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364717302422 |
| _version_ | 1818863537534009344 |
|---|---|
| author | Cemil Tunç |
| author_facet | Cemil Tunç |
| author_sort | Cemil Tunç |
| collection | DOAJ |
| description | In this article, we construct new specific conditions for the asymptotic stability (AS) and boundedness (B) of solutions to nonlinear Volterra integro-differential equations (VIDEs) of first order with a constant retardation. Our analysis is based on the successful construction of suitable Lyapunov–Krasovskii functionals (LKFs). The results of this paper are new, and they improve and complete that can be found in the literature. Keywords: Volterra integro-differential equation, First order, Retardation, Asymptotic stability, Boundedness, Lyapunov–Krasovskii functional |
| first_indexed | 2024-12-19T10:17:20Z |
| format | Article |
| id | doaj.art-9f9b682f726347eaa2da2bea34ec1ea3 |
| institution | Directory Open Access Journal |
| issn | 1018-3647 |
| language | English |
| last_indexed | 2024-12-19T10:17:20Z |
| publishDate | 2018-10-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Journal of King Saud University: Science |
| spelling | doaj.art-9f9b682f726347eaa2da2bea34ec1ea32022-12-21T20:26:11ZengElsevierJournal of King Saud University: Science1018-36472018-10-01304531536Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equationsCemil Tunç0Department of Mathematics, Faculty of Sciences, Yuzuncu Yil University, 65080 Van, TurkeyIn this article, we construct new specific conditions for the asymptotic stability (AS) and boundedness (B) of solutions to nonlinear Volterra integro-differential equations (VIDEs) of first order with a constant retardation. Our analysis is based on the successful construction of suitable Lyapunov–Krasovskii functionals (LKFs). The results of this paper are new, and they improve and complete that can be found in the literature. Keywords: Volterra integro-differential equation, First order, Retardation, Asymptotic stability, Boundedness, Lyapunov–Krasovskii functionalhttp://www.sciencedirect.com/science/article/pii/S1018364717302422 |
| spellingShingle | Cemil Tunç Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations Journal of King Saud University: Science |
| title | Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations |
| title_full | Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations |
| title_fullStr | Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations |
| title_full_unstemmed | Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations |
| title_short | Asymptotic stability and boundedness criteria for nonlinear retarded Volterra integro-differential equations |
| title_sort | asymptotic stability and boundedness criteria for nonlinear retarded volterra integro differential equations |
| url | http://www.sciencedirect.com/science/article/pii/S1018364717302422 |
| work_keys_str_mv | AT cemiltunc asymptoticstabilityandboundednesscriteriafornonlinearretardedvolterraintegrodifferentialequations |